The temperaments listed are 17edo-distinct, meaning that they are all different even if tuned in 17edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 17c val (<17 27 40 48 59 63|) was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
17, 7	<<1 4 4]]	Meantone	1.231	81/80
17, 5	<<2 -9 -19]]	Beatles	3.798	524288/492075
17, 8	<<3 -5 -15]]	Progress	2.877	32768/30375
17, 6	<<4 -1 -11]]	Smate	2.272	2048/1875
17, 2	<<5 3 -7]]	Progression	2.254	3456/3125
17, 4	<<6 7 -3]]	Subklei	2.833	17496/15625
17, 1	<<7 11 1]]	Slurpee	3.743	177147/156250
17, 3	<<9 2 -18]]	Genocchi	4.355	2359296/1953125

7-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
17, 7	<<1 4 -2 4 -6 -16]]	Dominant	1.466	36/35 64/63
17, 5	<<2 8 13 8 15 8]]	Mohamaq	2.958	81/80 392/375
17, 8	<<3 -5 -6 -15 -18 0]]	Progress	2.762	64/63 392/375
17, 6	<<4 -1 9 -11 3 24]]	Smate	2.575	36/35 2048/1875
17, 2	<<5 3 7 -7 -3 8]]	Progression	1.976	36/35 392/375
17, 4	<<6 7 5 -3 -9 -8]]	Subklei	2.340	36/35 1029/1000
17, 1	<<7 11 3 1 -15 -24]]	Slurpee	3.369	36/35 51200/50421
17, 3	<<8 -2 1 -22 -21 8]]	Hemismate	3.783	256/245 392/375

11-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
17, 7	<<1 4 -2 -6 4 -6 -13 -16 -28 -10]]	Dominant	1.864	36/35 56/55 64/63
17, 5	<<2 8 -4 5 8 -12 1 -32 -16 28]]	Maqamic	2.569	36/35 64/63 121/120
17, 8	<<3 -5 -6 -1 -15 -18 -12 0 15 18]]	Progress	2.399	56/55 64/63 77/75
17, 6	<<4 -1 9 10 -11 3 2 24 27 -3]]	Smate	2.443	36/35 56/55 243/242
17, 2	<<5 3 7 4 -7 -3 -11 8 -1 -13]]	Progression	1.749	36/35 56/55 77/75
17, 4	<<6 7 5 15 -3 -9 3 -8 11 25]]	Subklei	2.459	36/35 77/75 352/343
17, 1	<<7 11 3 9 1 -15 -10 -24 -17 15]]	Slurpee	2.916	36/35 121/120 352/343
17, 3	<<8 -2 1 3 -22 -21 -23 8 14 5]]	Hemismate	3.279	56/55 77/75 256/245

13-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
17, 7	<<1 4 -2 11 8 4 -6 14 9 -16 12 4 38 30 -13]]	Domination	2.061	26/25 36/35 64/63 66/65
17, 5	<<2 8 -4 5 -1 8 -12 1 -9 -32 -16 -32 28 12 -22]]	Maqamic	2.402	36/35 64/63 66/65 121/120
17, 8	<<3 -5 -6 -1 -10 -15 -18 -12 -27 0 15 -5 18 -6 -31]]	Progressive	2.485	26/25 56/55 64/63 77/75
17, 6	<<4 -1 9 10 -2 -11 3 2 -18 24 27 -1 -3 -39 -44]]	Smate	2.520	26/25 36/35 56/55 243/242
17, 2	<<5 3 7 4 6 -7 -3 -11 -9 8 -1 3 -13 -9 6]]	Progression	1.563	26/25 36/35 56/55 66/65
17, 4	<<6 7 5 15 14 -3 -9 3 0 -8 11 7 25 21 -7]]	Subklei	2.307	26/25 36/35 66/65 352/343
17, 1	<<7 11 3 9 5 1 -15 -10 -18 -24 -17 -29 15 3 -16]]	Slurpee	2.700	36/35 66/65 143/140 352/343
17, 3	<<8 -2 1 3 -4 -22 -21 -23 -36 8 14 -2 5 -15 -25]]	Hemismate	3.187	26/25 56/55 77/75 256/245